Research


Research Areas

My current research areas include Rough sets, Algebra, Logic, Vagueness, Soft Computing, Mereology, Algebraic Logic, Ontology, Dialectical Logics, Ordered Structures, Partial Algebras, Foundations of Mathematics, Education Research, Philosophical Logic, Fuzzy Sets and Theory of Knowledge I have interests in applications to social social sciences, feminism, gender studies and applied philosophy too. You can request a not-so-short research statement to know more.

Most of my recent publications have been in the area of foundations of rough sets and algebraic logic. My research in rough sets range over axiomatic approach to granularity, various algebraic semantics of rough sets, Contamination problem, Knowledge, rationality, rough number systems, and connections with probability and fuzzy sets in particular. Specifically I have also invented/worked on high granular operator spaces (partial algebras), adaptation of rough semantics to Posets with difference, higher order semantics for classical rough set theory, AntiChain based Semantics, Tolerance Approximation Spaces, Granular Rough Semantics, Variable Precision Rough Sets, Irreflexive Rough Sets, Bitten RST (in TAS), Logic of TQBA and Variants, Problem of Combining Generalized Rough Semantics, Dialectical Rough Logics, Rough Theory of Knowledge, Integrated (of multiple meta levels) Rough Semantics, Mereology, ideal based rough sets and applications in algebra and logic.

Click on the link below for a list of my recent publications. A few of them can be found at Arxiv.


Recent Publications

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Some Abstracts

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Other Research Areas

Before 1996, I used to work on fixed point theory, summability, topology, posets and semigroups mainly. I have published quite a bit on feminism, and trans feminist issues. These can be found in my feminist research page.

Philosophical Aspects

I am, of course, very good in philosophy. Some of the meta principles due to myself (in a interpretation) that I try to stick to:

Monographs

I have been working on three different monographs on algebra, order and logics for quite some time. These are delayed due to my pre-occupation with research papers and other matters.

1. Algebraic Methods in General Rough Sets

My co-edited research volume on "Algebraic Methods in General Rough Sets" has appeared in the Springer Trends in Mathematics Series . The springer page is here. The CFP was at easychair and at the rough set society website. The book includes the following research chapters:

2. Granular Foundations of the Mathematics of Vagueness, Algebraic Semantics, and Knowledge Interpretation

I did a rather late doctorate in mathematics. A compact version (306pp, a4) of my thesis is available here . It includes some of my work done before the year 2015, in algebraic semantics of general rough sets including those arising from generalized transitive relations, knowledge interpretation and related semantics, and axiomatic approach to granularity, contamination problems and related measures. A library/print copy can be ordered from pothi.com.

Collaborators

My list of collaborators is quite long. Almost everybody working on the foundations of rough sets is a collaborator. I have collaborators in algebra, formal logic, FOM, applied areas and communities like IRSS, CLC, ALI, WIL, AWM, WIM, and ISRS too.

Research Gate Page

Link to my research gate page.

Research on Feminism

I have published quite a bit on feminism, and trans feminist issues. These are often from an interdisciplinary perspective and can be found in my feminist research page.